Search a number
-
+
343342404 = 223217261541
BaseRepresentation
bin10100011101101…
…111110101000100
3212221001121020100
4110131233311010
51200343424104
654023004100
711336235156
oct2435576504
9787047210
10343342404
11166898259
1296b99630
1356194ab2
1433856ad6
1520221139
hex1476fd44

343342404 has 108 divisors (see below), whose sum is σ = 938794948. Its totient is φ = 105753600.

The previous prime is 343342403. The next prime is 343342409. The reversal of 343342404 is 404243343.

343342404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1166400 + 342176004 = 1080^2 + 18498^2 .

It is not an unprimeable number, because it can be changed into a prime (343342403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 634374 + ... + 634914.

Almost surely, 2343342404 is an apocalyptic number.

343342404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343342404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469397474).

343342404 is an abundant number, since it is smaller than the sum of its proper divisors (595452544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343342404 is a wasteful number, since it uses less digits than its factorization.

343342404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 343342404 is about 18529.5009107099. The cubic root of 343342404 is about 700.2328504264.

Adding to 343342404 its reverse (404243343), we get a palindrome (747585747).

The spelling of 343342404 in words is "three hundred forty-three million, three hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 289 306 366 541 549 578 612 732 867 1037 1082 1098 1156 1623 1734 2074 2164 2196 2601 3111 3246 3468 4148 4869 5202 6222 6492 9197 9333 9738 10404 12444 17629 18394 18666 19476 27591 33001 35258 36788 37332 52887 55182 66002 70516 82773 99003 105774 110364 132004 156349 158661 165546 198006 211548 297009 312698 317322 331092 396012 469047 561017 594018 625396 634644 938094 1122034 1188036 1407141 1683051 1876188 2244068 2814282 3366102 5049153 5628564 6732204 9537289 10098306 19074578 20196612 28611867 38149156 57223734 85835601 114447468 171671202 343342404